101812320 has 144 divisors (see below), whose sum is σ = 367960320. Its totient is φ = 25546752.

The previous prime is 101812289. The next prime is 101812369. The reversal of 101812320 is 23218101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101812293 and 101812302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22401 + ... + 26559.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2^101812320 is an apocalyptic number.

101812320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

101812320 is an abundant number, since it is smaller than the sum of its proper divisors (266148000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101812320 is a wasteful number, since it uses less digits than its factorization.

101812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101812320 is about 10090.2091157716. The cubic root of 101812320 is about 466.9461273977.

The spelling of 101812320 in words is "one hundred one million, eight hundred twelve thousand, three hundred twenty".